25736880 has 160 divisors (see below), whose sum is σ = 87869376. Its totient is φ = 6193152.

The previous prime is 25736873. The next prime is 25736881. The reversal of 25736880 is 8863752.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (25736881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227704 + ... + 227816.

Almost surely, 2^25736880 is an apocalyptic number.

25736880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25736880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43934688).

25736880 is an abundant number, since it is smaller than the sum of its proper divisors (62132496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25736880 is a wasteful number, since it uses less digits than its factorization.

25736880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 25736880 is about 5073.1528658222. The cubic root of 25736880 is about 295.2468679487.

It can be divided in two parts, 2573 and 6880, that added together give a triangular number (9453 = T₁₃₇).

The spelling of 25736880 in words is "twenty-five million, seven hundred thirty-six thousand, eight hundred eighty".